Light induced "Mock Gravity" at the nanoscale

The origin of long-range attractive interactions has fascinated scientist along centuries. The remarkable Fatio-LeSage's corpuscular theory, introduced as early as in 1690 and generalized to electromagnetic waves by Lorentz, proposed that, due to their mutual shadowing, two absorbing particles in an isotropic radiation field experience an attractive force which follows a gravity-like inverse square distance law. Similar "Mock Gravity" interactions were later introduced by Spitzer and Gamow in the context of Galaxy formation but their actual relevance in Cosmology has never been unambiguously established. Here we predict the existence of Mock-Gravity, inverse square distance, attractive forces between two identical molecules or nanoparticles in a quasi monochromatic isotropic random light field, whenever the light frequency is tuned to an absorption line such that the real part of the particle's electric polarizability is zero, i.e. at the so-called Froehlich resonance. These interactions are scale independent, holding for both near and far-field separation distances.